H?lder不等式的证明及其在大学数学教学中的应用初探

Exploration on Proof and Applications in Teaching Process of H?lder Inequality

Holder不等式作为揭示高等数学基本函数空间——Lp空间内函数相互关系的基本不等式,在基本数学理论和教学研究中都发挥了重要的作用。为了帮助学生更好地理解掌握Holder不等式,基于教学实践,主要从不等式的介绍、证明以及应用三个方面进行探讨。

The Holder inequality is a very important inequality in Lp Space which is a basic functional space in Advanced Mathematics,especially in areas of research of theory and teaching.To help students better understand the Holder inequality,based on author's personal teaching practices,the paper discusses the teaching methods about Holder inequality mainly from introduction,proof and applications.